A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below. Assume scores are normally distributed.

HW3

13.3

21.9

9.7

25

5.4

13.2

20.9

18.5

20

15.4

25

9.7

6.4

20.2

21.8

23.1

23

11.4

14.9

18.4

15.1

15

16.8

Midterm:

Midterm

59.811

87.539

53.728

96.283

39.174

66.092

89.729

78.985

86.2

73.274

93.25

52.257

43.984

79.762

84.258

92.911

87.82

45.034

71.869

76.704

60.431

65.15

77.208

Approximately what percentage of the variation in the Midterm grade isaccounted for by the HW3 grade in this model?

Place your answer, rounded to1 decimal place, in the blank.Do notuse any stray punctuation marks or apercentage sign.For example, 78.9 would be a legitimate entry.%